31=(2x+11)(3x)

Simple and best practice solution for 31=(2x+11)(3x) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 31=(2x+11)(3x) equation: 


Simplifying
31 = (2x + 11)(3x)

Reorder the terms:
31 = (11 + 2x)(3x)

Remove parenthesis around (3x)
31 = (11 + 2x) * 3x

Reorder the terms for easier multiplication:
31 = 3x(11 + 2x)
31 = (11 * 3x + 2x * 3x)
31 = (33x + 6x2)

Solving
31 = 33x + 6x2

Solving for variable 'x'.

Reorder the terms:
31 + -33x + -6x2 = 33x + -33x + 6x2 + -6x2

Combine like terms: 33x + -33x = 0
31 + -33x + -6x2 = 0 + 6x2 + -6x2
31 + -33x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
31 + -33x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
-5.166666667 + 5.5x + x2 = 0

Move the constant term to the right:

Add '5.166666667' to each side of the equation.
-5.166666667 + 5.5x + 5.166666667 + x2 = 0 + 5.166666667

Reorder the terms:
-5.166666667 + 5.166666667 + 5.5x + x2 = 0 + 5.166666667

Combine like terms: -5.166666667 + 5.166666667 = 0.000000000
0.000000000 + 5.5x + x2 = 0 + 5.166666667
5.5x + x2 = 0 + 5.166666667

Combine like terms: 0 + 5.166666667 = 5.166666667
5.5x + x2 = 5.166666667

The x term is 5.5x.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5x + 7.5625 + x2 = 5.166666667 + 7.5625

Reorder the terms:
7.5625 + 5.5x + x2 = 5.166666667 + 7.5625

Combine like terms: 5.166666667 + 7.5625 = 12.729166667
7.5625 + 5.5x + x2 = 12.729166667

Factor a perfect square on the left side:
(x + 2.75)(x + 2.75) = 12.729166667

Calculate the square root of the right side: 3.567795771

Break this problem into two subproblems by setting 
(x + 2.75) equal to 3.567795771 and -3.567795771.


Subproblem 1
x + 2.75 = 3.567795771

Simplifying
x + 2.75 = 3.567795771

Reorder the terms:
2.75 + x = 3.567795771

Solving
2.75 + x = 3.567795771

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.75' to each side of the equation.
2.75 + -2.75 + x = 3.567795771 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + x = 3.567795771 + -2.75
x = 3.567795771 + -2.75

Combine like terms: 3.567795771 + -2.75 = 0.817795771
x = 0.817795771

Simplifying
x = 0.817795771


Subproblem 2
x + 2.75 = -3.567795771

Simplifying
x + 2.75 = -3.567795771

Reorder the terms:
2.75 + x = -3.567795771

Solving
2.75 + x = -3.567795771

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.75' to each side of the equation.
2.75 + -2.75 + x = -3.567795771 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + x = -3.567795771 + -2.75
x = -3.567795771 + -2.75

Combine like terms: -3.567795771 + -2.75 = -6.317795771
x = -6.317795771

Simplifying
x = -6.317795771


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.817795771, -6.317795771}

See similar equations:

| -120=-10(x-1) | | 64=8(9+b) | | -4-5p=-(3p-4) | | x-0.50x=30 | | x+4/x-1+x/x+1=2 | | 2x^3+2x^2+2x+1=0 | | 3-7n=2n-3(4n-8) | | 10x+20=6x+18 | | -39=3a | | 7-3x+1+4=-6-7x-6 | | 4/x=6/12 | | -6y-22=4(y+7) | | 10=5+p | | 30-x/x=x | | 625000-37000(5)= | | ax=abw | | x^2+14x=-51 | | 9(v-6)=3v-30 | | -6=10+n | | 2(3-x)+5(2x-3)=3-4x | | 2/x-2/3=x/6 | | 8+4(2g-5)=-20 | | 625000-37000(5)=0 | | 5x-2(11-3x)=7(2x-3)-3x-1 | | -6v-23=-4(v+9) | | cosx+3=2x | | 2(3-x)+5(2x-3)=3-4 | | -28=4 | | -4(y-6)=2y-12 | | 2y+20=12 | | 3y+49=7(y+3) | | 7(2x-5)-5=-152 |

Equations solver categories